On a pinning model in correlated Gaussian random environments
Probability
2026-02-17 v2
Abstract
We consider a pinning model in correlated Gaussian random environments. For the model that is disorder relevant, we study its intermediate disorder regime and show that the rescaled partition functions converge to a non-trivial continuum limit in the Skorohod setting and in the Stratonovich setting, respectively. Our results partially confirm the Weinrib--Halperin prediction for disorder relevance/irrelevance.
Cite
@article{arxiv.2501.00445,
title = {On a pinning model in correlated Gaussian random environments},
author = {Zi'an Li and Jian Song and Ran Wei and Hang Zhang},
journal= {arXiv preprint arXiv:2501.00445},
year = {2026}
}
Comments
26 pages